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Simplifying (5a + -6) + (4a + -9) = 0 Reorder the terms: (-6 + 5a) + (4a + -9) = 0 Remove parenthesis around (-6 + 5a) -6 + 5a + (4a + -9) = 0 Reorder the terms: -6 + 5a + (-9 + 4a) = 0 Remove parenthesis around (-9 + 4a) -6 + 5a + -9 + 4a = 0 Reorder the terms: -6 + -9 + 5a + 4a = 0 Combine like terms: -6 + -9 = -15 -15 + 5a + 4a = 0 Combine like terms: 5a + 4a = 9a -15 + 9a = 0 Solving -15 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 9a = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 9a = 0 + 15 9a = 0 + 15 Combine like terms: 0 + 15 = 15 9a = 15 Divide each side by '9'. a = 1.666666667 Simplifying a = 1.666666667
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